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Addition of Three 3-Digit Numbers

We will learn addition of three 3-digit numbers.


Addition of Three 3-Digit Numbers Without Regrouping:

Adding three 3-digit numbers is same as adding two 3-digit numbers.

For examples:

1. Add 423112 and 260.

Solution:



Step 1: Arrange the numbers vertically.

Step 2: First add the ones. 3 + 2 + 0 = 5

 Step 3: Now, add the tens. 2 + 1 + 6 = 9

Step 4: Lastly, add the hundreds. 4 + 1 + 2 = 7

Addition of Three 3-Digit Numbers Without Regrouping

Thus, 423 + 112 + 260 = 795


Addition of Three 3-Digit Numbers With Regrouping:

1. Add 497, 125 and 124.

Solution:

Step I: Arrange the numbers vertically.

Step II: Add the ones column. 7 + 5 + 4 = 16 ones = 1 ten and 6 ones. Write 6 in the ones column and carry over 1 to the tens column.

Step III: Add the tens column. 9 + 2 + 2 + 1 (carry over) = 14 tens = 1 hundred and 4 tens. Write 4 in the tens column and carry over 1 to the hundreds column.

Step IV: Add the hundreds column. 4 + 1 + 1 + 1 (carry over) = 7 hundreds.

Addition of Three 3-Digit Numbers With Regrouping

Thus, 497 + 125 + 124 = 746


2. Let us add 123, 571 and 238.

Write the numbers one below the other.

Addition of Three 3-Digit Numbers


Step I:
 Add the ones.

3 ones + 1 one + 8 ones = 12 ones

Regroup: 12 ones = 1 ten and 2 ones

Write 2 in the ones place.

Carry over 1 ten and write it under "T'.


Step II: Add the tens.

1 ten (carried over) + 2 tens +7 tens + 3 tens = 13 tens

Regroup: 13 tens = 1 hundred and 3 tens

Write 3 in the tens place.

Carry over 1 hundred and write it under 'H'.


Step III: Add the hundreds.

1 hundred (carried over) + 1 hundred + 5 hundreds + 2 hundreds = 9 hundreds

Write 9 in the hundreds place.


The sum is 932.


Worksheet on Addition of Three 3-Digit Numbers:

1. Add the following Three 3-Digit Numbers Without Regrouping:

(i) 132 + 125 + 432

(ii) 320 + 220 + 459

(iii) 133 + 206 + 630

(iv) 351 + 133 + 400

(v) 233 + 654 + 111

(vi) 561 + 125 + 112

(vii) 615 + 131 + 202

(viii) 810 + 125 + 53

(ix) 520 + 164 + 204

(x) 230 + 321 + 248


Answer:

1. (i) 689

(ii) 999

(iii) 969

(iv) 884

(v) 998

(vi) 798

(vii) 948

(viii) 988

(ix) 888

(x) 799


2. Add the following Three 3-Digit Numbers With Regrouping:

(i) 281 + 435 + 209

(ii) 355 + 321 + 189

(iii) 240 + 107 + 573

(iv) 286 + 233 + 249

(v) 222 + 437 + 150

(vi) 109 + 420 + 371

(vii) 175 + 215 + 301

(viii) 482 + 239 + 101


Answer:

2. (i) 925

(ii) 865

(iii) 920

(iv) 768

(v) 809

(vi) 900

(vii) 691

(viii) 822


3. Arrange in columns and add:

(i) 321, 436 and 169

(ii) 430, 295 and 199

(iii) 315, 340 and 400

(iv) 136, 680 and 198


Answer:

3. (i) 926

(ii) 924

(iii) 1055

(iv) 1014


4. Add the following 3 three-digit numbers as shown.

(i)

           H      T     O

           1      1

           2      1     4

           4      6     2

      +   1      2     8 

           8      0     4                   _____________

(ii)

           H      T     O

           1      3     2

           2      4     3

      +   4      6     7 

      ____________

(iii)

           H      T     O

           3      1     9

           1      1     4

      +   2      6     1 

      ____________

(iv)

           H      T     O

           5      2     9

           1      6     2

      +   1      7     5 

      ____________

(v)

           H      T     O

           4      0     1

           1      4     4

      +   2      5     3 

      ____________

(vi)

           H      T     O

           3      0     2

           2      7     7

      +   1      4     8 

      ____________


Answer:

4. (ii) 842

(iii) 694

(iv) 866

(v) 798

(vi) 727

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